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On Normalizers of the Nilpotent Residuals of Subgroups of a Finite Group

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Abstract

The aim of this paper is to study the structure of finite groups whose nilpotent residuals of non-normal subgroups are normal.

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Acknowledgments

The authors would like to thank Professor A. Ballester-Bolinches of Valencia University for his valuable suggestions and useful comments contributed to this paper. The research of the work was partially supported by the National Natural Science Foundation of China (11371237, 11271208 and 11271085), SRFDP (200802800011), the Shanghai Leading Academic Discipline Project (J50101).

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Authors and Affiliations

  1. School of Sciences, Nantong University, Jiangsu, 226007, People’s Republic of China

    Lü Gong

  2. Department of Mathematics, Shanghai University, Shanghai, 200444, People’s Republic of China

    Xiuyun Guo

Authors
  1. Lü Gong
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  2. Xiuyun Guo
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Correspondence to Xiuyun Guo.

Additional information

Communicated by Ang Miin Huey.

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Gong, L., Guo, X. On Normalizers of the Nilpotent Residuals of Subgroups of a Finite Group. Bull. Malays. Math. Sci. Soc. 39, 957–970 (2016). https://doi.org/10.1007/s40840-016-0338-y

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  • DOI: https://doi.org/10.1007/s40840-016-0338-y

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